A186023 Eigentriangle of triangle A085478.

1, 1, 1, 2, 1, 1, 6, 4, 1, 1, 23, 15, 6, 1, 1, 106, 68, 28, 8, 1, 1, 567, 365, 145, 45, 10, 1, 1, 3434, 2215, 877, 262, 66, 12, 1, 1, 23137, 14917, 5936, 1750, 427, 91, 14, 1, 1, 171174, 110324, 43936, 13020, 3108, 648, 120, 16, 1, 1, 1376525, 887232, 353067, 104904, 25125, 5091, 933, 153, 18, 1, 1

Offset

0,4

Comments

First column is A125273. Inverse of A186024. Rows sums are A125273(n)*(2-0^n).

Links

Table of n, a(n) for n=0..65.

Paul Barry, Invariant number triangles, eigentriangles and Somos-4 sequences, arXiv preprint arXiv:1107.5490 [math.CO], 2011.

Example

Triangle begins
       1;
       1,      1;
       2,      1,     1;
       6,      4,     1,     1;
      23,     15,     6,     1,    1;
     106,     68,    28,     8,    1,   1;
     567,    365,   145,    45,   10,   1,   1;
    3434,   2215,   877,   262,   66,  12,   1,  1;
   23137,  14917,  5936,  1750,  427,  91,  14,  1, 1;
  171174, 110324, 43936, 13020, 3108, 648, 120, 16, 1, 1;

Crossrefs

Cf. A125273, A186020, A186024,

Sequence in context: A340128 A139622 A257895 * A103880 A135899 A327816

Adjacent sequences: A186020 A186021 A186022 * A186024 A186025 A186026

Keyword

nonn,tabl

Author

Paul Barry, Feb 10 2011

Status

approved